Map dependence of the fractal dimension deduced from iterations of circle maps
| ISSN: |
1432-0916
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| Source: |
Springer Online Journal Archives 1860-2000
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| Topics: |
Mathematics
Physics
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| Notes: |
Abstract Every orientation preserving circle mapg with inflection points, including the maps proposed to describe the transition to chaos in phase-locking systems, gives occasion for a canonical fractal dimensionD, namely that of the associated set of μ for whichf μ=μ+g has irrational rotation number. We discuss how this dimension depends on the orderr of the inflection points. In particular, in the smooth case we find numerically thatD(r)=D(r −1)=r −1/8.
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| Type of Medium: |
Electronic Resource
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| URL: |